Asked by Linden Lunsford on Sep 27, 2024

If X and Y are independent random variables,which of the following identities is false?

A) COV(X,Y) = 1
B) E(X + Y) = E(X) + E(Y)
C) V(X + Y) = V(X) + V(Y)
D) All of these choices are true.

Independent Variables

Refers to the inputs or predictors in a statistical model that are manipulated or selected by the researcher to determine their effect on the dependent variable.

COV

A measure of relative variability computed as the standard deviation divided by the mean; also known as the coefficient of variation.

  • Attain insight into the primary notions and features regarding the summation of variances and expected values.
  • Know the characteristics of independent random variables and their impact on sums, variances, and covariances.